85683456 has 54 divisors (see below), whose sum is σ = 247053170. Its totient is φ = 28560384.

The previous prime is 85683443. The next prime is 85683469. The reversal of 85683456 is 65438658.

85683456 is a `hidden beast` number, since 8 + 568 + 34 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (85683443) and next prime (85683469).

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 2509056 = 9120^2 + 1584^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16291 + ... + 20898.

Almost surely, 2^85683456 is an apocalyptic number.

It is an amenable number.

85683456 is an abundant number, since it is smaller than the sum of its proper divisors (161369714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85683456 is a wasteful number, since it uses less digits than its factorization.

85683456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37211 (or 37194 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 85683456 is about 9256.5358531148. The cubic root of 85683456 is about 440.8582696632.

The spelling of 85683456 in words is "eighty-five million, six hundred eighty-three thousand, four hundred fifty-six".